Global regularity for a family of models of the axisymmetric Navier–Stokes system

2021 ◽  
Vol 73 (1) ◽  
Author(s):  
Zujin Zhang ◽  
Caiyang Zeng
Keyword(s):  
Stokes System ◽  
Global Regularity ◽  
Navier Stokes

scholarly journals Global regularity for a slightly supercritical hyperdissipative Navier–Stokes system

2014 ◽  
Vol 7 (8) ◽  
pp. 2009-2027 ◽  
Author(s):  
David Barbato ◽  
Francesco Morandin ◽  
Marco Romito
Keyword(s):  
Stokes System ◽  
Global Regularity ◽  
Navier Stokes

scholarly journals Some preliminary observations on a defect Navier–Stokes system

2019 ◽  
Vol 347 (10) ◽  
pp. 677-684 ◽  
Author(s):  
Amit Acharya ◽  
Roger Fosdick
Keyword(s):  
Stokes System ◽  
Navier Stokes

scholarly journals Velocity–pressure correlation in Navier–Stokes flows and the problem of global regularity

2021 ◽  
Vol 911 ◽  
Author(s):  
Chuong V. Tran ◽  
Xinwei Yu ◽  
David G. Dritschel
Keyword(s):  
Global Regularity ◽  
Navier Stokes ◽  
Stokes Flows ◽  
Velocity Pressure

Abstract

scholarly journals Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions

2021 ◽  
pp. 1-21
Author(s):  
Claudia Gariboldi ◽  
Takéo Takahashi
Keyword(s):  
Optimal Control ◽  
Optimal Control Problem ◽  
Boundary Conditions ◽  
Control Problem ◽  
Stokes System ◽  
Navier Stokes ◽  
Slip Boundary Conditions ◽  
Navier Slip ◽  
Slip Boundary ◽  
Navier Slip Boundary Conditions

We consider an optimal control problem for the Navier–Stokes system with Navier slip boundary conditions. We denote by α the friction coefficient and we analyze the asymptotic behavior of such a problem as α → ∞. More precisely, we prove that if we take an optimal control for each α, then there exists a sequence of optimal controls converging to an optimal control of the same optimal control problem for the Navier–Stokes system with the Dirichlet boundary condition. We also show the convergence of the corresponding direct and adjoint states.

scholarly journals New asymptotic profiles of nonstationary solutions of the Navier–Stokes system

2007 ◽  
Vol 88 (1) ◽  
pp. 64-86 ◽  
Author(s):  
Lorenzo Brandolese ◽  
François Vigneron
Keyword(s):  
Stokes System ◽  
Navier Stokes
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